Put the carrots in a 4-quart saucepan with enough cool water to cover by at least 1 inch. Add 1 tsp. salt and bring to a boil. Turn the heat down and cook at a gentle boil until the carrots can be easily pierced with a fork, about 25 minutes.

Drain well in a colander, letting the steam rise for a few minutes. Meanwhile, heat the butter, cream, oil, mint, orange zest, 1/2 tsp. salt, and a dash of hot sauce in the saucepan over low heat until the butter is melted.

For a rustic texture, return the carrots to the pan and mash with a potato masher to the consistency you like.

For a smooth texture (shown), purée the carrots in a food processor until smooth and then add them to the pan, stirring well to combine.

Season to taste with more orange zest, salt, or hot sauce before serving.